What would make sense for me for the Feds to do would be to push some money into HUD to temporarily increase the HUD certificates that can go out and decrease the time to qualify for one. So, for example, the once solvent tenant who is now unemployed with minimal prospects can get a HUD certificate that would pay the Landlords a portion of rent (not a huge money-making portion but an amount that would help them meet their expenses).
For example something like this:
Tenant loses job and after 30 days of unemployment they can get this special new certificate that will pay X amount (determined by city and # of rooms). So the landlord who was once getting $1100 for his 3 br house might now get 650 but it will protect both the tenant and the landlord in case this doesn't get resolved within the next 6 months.
I don't think this should be a period where tenants are in jeopardy and I believe that landlords should at least be made whole enough to stay solvent enough to keep the property and not be in a position of total insolvency after this is all over.